501125 ÷ 84 
The aim is to understand the frequency of 84 in 501125.

Going ahead to step 1:
When dividing 5 by 84, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (0) from the dividend and append it to 5, then repeat: 50 / 84

Going ahead to step 2:
50 divided by 84 is 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Take the next digit (1) from the dividend and append it to 50, then repeat: 501 / 84

On to step 3:
When dividing 501 by 84, we get 5 with a remainder of 81.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 420 from 501 leaves us with 81.
Append the next digit (1) from the dividend to 81 and continue with: 811 / 84

Going ahead to step 4:
When dividing 811 by 84, we get 9 with a remainder of 55.
The next digit of our result is 9. 
Result so far: 59.0
The remainder is 55 after subtracting 756 from 811.
Include the next digit (2) from the dividend after 55, then repeat: 552 / 84

Moving on to step 5:
84 can be fit into 552 6 times, resulting in a remainder of 48.
Put 6 as the next digit of the answer. 
Result so far: 596.0
Subtracting 504 from 552 leaves us with 48.
Include the next digit (5) from the dividend after 48, then repeat: 485 / 84

Step 6:
If we divide 485 by 84, we get 5 and a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 5965.0
If we subtract 420 from 485, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Moving on to step 7:
The number 84 fits into 650 7 times, leaving a remainder of 62.
Record the quotient 7 as the next digit in the result. 
Result so far: 5965.7
Subtract 588 from 650 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 8:
84 goes into 620 7 times with a remainder of 32.
The next digit of our result is 7. 
Result so far: 5965.77
Subtracting 588 from 620 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 5965.77, and the remainder is 0.032.